Artist's support facility close to Bristol (5)
I believe the answer is:
easel
'artist's support' is the definition.
(I've seen this in another clue)
'facility close to bristol' is the wordplay.
'facility' becomes 'ease' (I've seen this in another clue).
'close to' suggests the final letters (the close of something is the end).
The final letter of 'bristol' is 'l'.
'ease'+'l'='EASEL'
(Other definitions for easel that I've seen before include "Painter's support" , "Support for 12's [ARTIST]" , "Lease it out to the artist" , "Board stanchion" , "Constable's stand?" .)