There is no "user" level option for IVR's etc since normally an admin type user would handle such things.
There isn't a way to limit a user's access to a single IVR etc, but you can fairly easily setup a "limited admin" user role to give access to only the menus/options required such as only their typical user level items and just the Applications>IVR's page.
Permissions are broken down to multiple levels where 1st they need access to the page to even see it in the menu, then the permissions to view/edit/add/delete the items. So a limited admin might be able to view and edit existing ivr's but not add or delete them.
As a failsafe, there is Advanced>Transactions that log changes made and allow a superadmin to trace and undo changes if needed.