Go, after throwing out rug (6)
I believe the answer is:
toupee
'rug' is the definition.
(rug can informally mean a wig or toupee)
'go after throwing out' is the wordplay.
'go' becomes 'pee' (both can mean to urinate).
'after' means one lot of letters go next to another.
'throwing' indicates an anagram (letters get thrown around).
'out' anagrammed gives 'tou'.
'pee' after 'tou' is 'TOUPEE'.
(Other definitions for toupee that I've seen before include "Artificial hairpiece" , "Artificial hair" , "A wig for American male" , "rug" , "Small hairpiece to cover bald patch" .)