When I cloned the request I'm not able to edit that request

Hi,
I'm assuming you refer to "copy" action since "clone" is not a term used in Workfront.

As per documentation:
https://experienceleague.adobe.com/en/docs/workfront/using/manage-work/issues/manage-issues/copy-issues

Permissions

Removes the entities that the issue is shared with.

---

Permissions is optional parameter that can be modified during copy process:

So when you keep permissions "selected" it should be fine, access rights are carried over to the new issue