I am using WordPress 5.0.3
Participants don’t see link for editing their own questions although they have this permission in the role settings.
I have seen info in this forum about avoiding using the base page as the home page.
I am not sure what the base page is but have created a new page and selected it as the home page but problem still persists.
Have you already edited AnsPress roles capabilities? Please check if you have not unchecked edit_question caps by mistake.
Also double check if editing is allowed in AnsPress options.