Add in peter solution for pyside

tox.ini

@@ -1,6 +1,6 @@
 # For more information about tox, see https://tox.readthedocs.io/en/latest/
 [tox]
-envlist = py{310,311,312,313}-{linux,macos,windows}-pyqt
+envlist = py{310,311,312,313}-{linux,macos,windows}-pyqt, py{310}-{linux,windows}-pyside
 
 [gh-actions]
 python =
@@ -39,6 +39,13 @@ deps =
     {[testenv]deps}
     napari[pyqt5]
 
+[testenv:py{310}-{linux,windows}-pyside]
+deps =
+    {[testenv]deps}
+    napari[pyside2]
+    pytest-qt < 4.5.0
+    lxml_html_clean  # should only be needed till napari 0.5.0
+
 [testenv:ruff]
 skip_install = True
 deps = pre-commit