Playwrights go up in artist's place, being assertive types (10)

'assertive types' is the definition.
(people who assert certain beliefs)

'playwrights go up in artist's place' is the wordplay.
I cannot really see how this works, but
'go' could be 'do' (doing is a kind of going) and 'do' is present in the answer.
'up' could be 'is' (I've seen this in other clues) and 'is' is present in the answer.
This may be the basis of clue (or it may be nonsense).

'being' is the link.