Plays Biden's less Democratic playwright (5)
I believe the answer is:
ibsen
'playwright' is the definition.
(Ibsen is an example)
'plays biden's less democratic' is the wordplay.
'plays' indicates an anagram.
'less' suggests deleting specific letters.
'democratic' becomes 'd' (political abbreviation).
'bidens' with 'd' taken away is 'biens'.
'biens' anagrammed gives 'IBSEN'.
(Other definitions for ibsen that I've seen before include "Norwegian author of 'Peer Gynt' etc" , "Dramatist, author of Peer Gynt" , "Norwegian dramatist of 'Hedda Gabler'" , "Linesman" , ""Doll's House" dramatist" .)