Name a busy type of playwright (5)
I believe the answer is:
albee
'playwright' is the definition.
(I've seen this in another clue)
'name a busy type' is the wordplay.
'name' becomes 'Al'.
'a busy type' becomes 'bee' (busy as a bee).
'al'+'bee'='ALBEE'
'of' is the link.
(Other definitions for albee that I've seen before include "American dramatist" , "Edward --, US playwright" , "even if now forgotten?" .)