diff --git a/.manylinux-install.sh b/.manylinux-install.sh
new file mode 100755
index 0000000..f82f0c4
--- /dev/null
+++ b/.manylinux-install.sh
@@ -0,0 +1,22 @@
+#!/usr/bin/env bash
+
+set -e -x
+
+# Compile wheels
+for PYBIN in /opt/python/*/bin; do
+    if [[ "${PYBIN}" == *"cp27"* ]] || \
+       [[ "${PYBIN}" == *"cp35"* ]] || \
+       [[ "${PYBIN}" == *"cp36"* ]] || \
+       [[ "${PYBIN}" == *"cp37"* ]] || \
+       [[ "${PYBIN}" == *"cp38"* ]]; then
+        "${PYBIN}/pip" install -U pip setuptools cffi
+        "${PYBIN}/pip" install -e /io/
+        "${PYBIN}/pip" wheel /io/ -w wheelhouse/
+        rm -rf /io/build /io/*.egg-info
+    fi
+done
+
+# Bundle external shared libraries into the wheels
+for whl in wheelhouse/zope.security*.whl; do
+    auditwheel repair "$whl" -w /io/wheelhouse/
+done
diff --git a/.manylinux.sh b/.manylinux.sh
new file mode 100755
index 0000000..2fed778
--- /dev/null
+++ b/.manylinux.sh
@@ -0,0 +1,5 @@
+#!/usr/bin/env bash
+
+set -e -x
+
+docker run --rm -v "$(pwd)":/io $DOCKER_IMAGE $PRE_CMD /io/.manylinux-install.sh
diff --git a/.travis.yml b/.travis.yml
index c9f6e54..e1e9908 100644
--- a/.travis.yml
+++ b/.travis.yml
@@ -1,31 +1,116 @@
 language: python
-dist: xenial
+
+env:
+  global:
+    TWINE_USERNAME: zope.wheelbuilder
+    TWINE_PASSWORD:
+      secure: "U6CeZtNEPDN3qKXfrLcvHFLrowqNWxmapXLWygZRxKgfR+ypowe1Y0a4kCBEBZKtysbY26MmIkrMV07tEMxny1yUWVCvRvUaQw0Ic3t5CM0R019zjVh9fQUTdWGCwri86Qj/OaeuPeMR0LCr6d9nMSun0GWSWhjOUhkTCdchfQw="
+
+python:
+  - 2.7
+  - 3.5
+  - 3.6
+  - 3.7
+  - 3.8
+  - pypy
+  - pypy3
+
 matrix:
   include:
-    - python: 2.7
-    - python: 3.5
-    - python: 3.6
-    - python: 3.7
-    - python: 3.8
-    - python: pypy2.7-6.0
-    - python: pypy3.5-6.0
-    - python: 2.7
-      env:
-          - PURE_PYTHON=1
-          - ZOPE_WATCH_CHECKERS=1
-    - python: 3.7
+
+    - name: "Python: 2.7, pure (no C extensions), with ZOPE_WATCH_CHECKERS enabled"
+      python: "2.7"
+      env: PURE_PYTHON=1 ZOPE_WATCH_CHECKERS=1
+
+    - name: "Python: 3.7, with ZOPE_WATCH_CHECKERS enabled"
+      python: 3.7
       env: ZOPE_WATCH_CHECKERS=1
-    - python: 3.7
+
+    - name: "Python: 3.7, pure (no C extensions)"
+      python: 3.7
       env: PURE_PYTHON=1
+
+    # manylinux wheel builds
+    - name: 64-bit manylinux wheels (all Pythons)
+      services: docker
+      env: DOCKER_IMAGE=quay.io/pypa/manylinux2010_x86_64
+      install: docker pull $DOCKER_IMAGE
+      script: bash .manylinux.sh
+
+    - name: 32-bit manylinux wheels (all Pythons)
+      services: docker
+      env: DOCKER_IMAGE=quay.io/pypa/manylinux2010_i686 PRE_CMD=linux32
+      install: docker pull $DOCKER_IMAGE
+      script: bash .manylinux.sh
+
+    # It's important to use 'macpython' builds to get the least
+    # restrictive wheel tag. It's also important to avoid
+    # 'homebrew 3' because it floats instead of being a specific version.
+    - name: Python 2.7 wheels for MacOS
+      os: osx
+      language: generic
+      env: TERRYFY_PYTHON='macpython 2.7.17'
+    - name: Python 3.5 wheels for MacOS
+      os: osx
+      language: generic
+      env: TERRYFY_PYTHON='macpython 3.5'
+    - name: Python 3.6 wheels for MacOS
+      os: osx
+      language: generic
+      env: TERRYFY_PYTHON='macpython 3.6.0'
+    - name: Python 3.7 wheels for MacOS
+      os: osx
+      language: generic
+      env: TERRYFY_PYTHON='macpython 3.7.0'
+
+before_install:
+  - |
+    if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then
+      git clone https://github.com/MacPython/terryfy
+      source terryfy/travis_tools.sh
+      get_python_environment $TERRYFY_PYTHON venv
+    fi
+
 install:
-    - pip install -U pip setuptools
-    - pip install -U coveralls coverage
-    - pip install -U -e .[test,docs]
+  - pip install -U pip setuptools
+  - pip install -U coveralls coverage
+  # pip install zope.proxy here because because setup_requires will use
+  # easy_install, which fails on Python 3.5 on Mac OS
+  - pip install -U zope.proxy
+  - pip install -U -e .[test,docs]
+
 script:
-    - coverage run -m zope.testrunner --test-path=src
-    - coverage run -a -m sphinx -b doctest -d docs/_build/doctrees docs docs/_build/doctest
+  - python --version
+  - coverage run -m zope.testrunner --test-path=src
+  - coverage run -a -m sphinx -b doctest -d docs/_build/doctrees docs docs/_build/doctest
+  - python setup.py bdist_wheel
+
 after_success:
-    - coveralls
+  - coveralls
+  - |
+    if [[ "$TRAVIS_OS_NAME" == "osx" ]]; then
+      # macpython 3.5 doesn't support recent TLS protocols which causes twine
+      # upload to fail, so we use the system Python to run twine
+      /usr/bin/python -m ensurepip --user
+      /usr/bin/python -m pip install --user -U pip
+      /usr/bin/python -m pip install --user -U -I twine
+      /usr/bin/python -m twine check dist/*
+      if [[ $TRAVIS_TAG ]]; then
+        /usr/bin/python -m twine upload --skip-existing dist/*
+      fi
+    fi
+  - |
+    if [[ -n "$DOCKER_IMAGE" ]]; then
+      pip install twine
+      twine check wheelhouse/*
+      if [[ $TRAVIS_TAG ]]; then
+        twine upload --skip-existing wheelhouse/*
+      fi
+    fi
+
 notifications:
-    email: false
+  email: false
+
 cache: pip
+before_cache:
+  - rm -f $HOME/.cache/pip/log/debug.log
diff --git a/CHANGES.rst b/CHANGES.rst
index a5701e9..c865dd3 100644
--- a/CHANGES.rst
+++ b/CHANGES.rst
@@ -12,6 +12,8 @@
 - Properly declare dependency on zope.schema >= 4.2.0, introduced in
   zope.security 4.2.1.
 
+- Fix dict item view iteration on PyPy3 7.x.
+
 
 4.3.1 (2019-01-03)
 ==================
diff --git a/src/zope/security/checker.py b/src/zope/security/checker.py
index 818ee72..f5541a7 100644
--- a/src/zope/security/checker.py
+++ b/src/zope/security/checker.py
@@ -886,6 +886,10 @@ def _fixup_dictlike(dict_type):
             o_type = type(obj)
             if o_type not in _default_checkers:
                 _default_checkers[o_type] = _iteratorChecker
+            # PyPy3 has special types for iter({}.items()) etc.
+            iter_type = type(iter(obj))
+            if iter_type not in _default_checkers:
+                _default_checkers[iter_type] = _iteratorChecker
 
 def _fixup_odict():
     # OrderedDicts have three different implementations: Python 2 (pure