Funny scene employs 'characters', regularly appearing inappropriate (8)
I believe the answer is:
unseemly
'inappropriate' is the definition.
(I've seen this before)
'funny scene employs characters regularly' is the wordplay.
'characters regularly' means one should take alternating letters (alternate characters from the clue are used).
'funny'+'scene'+'employs'='funnysceneemploys'
The alternating letters of 'funnysceneemploys' are 'UNSEEMLY'.
'appearing' acts as a link.
(Other definitions for unseemly that I've seen before include "Indecorous, unbecoming" , "Unbecoming, not fitting" , "Not becoming or fitting" , "Inappropriate" , "Not quite the thing" .)