Drinking too much, bishop goes off dribbling (6)

I believe the answer is:

oozing

'dribbling' is the definition.
(dribble can mean to ooze out)

'drinking too much bishop goes off' is the wordplay.
'drinking too much' becomes 'boozing' (to booze is to drink excessively).
'bishop' becomes 'B' (chess abbreviation).
'goes off' suggests deleting specific letters.
'boozing' with 'b' taken away is 'OOZING'.

(Another definition for oozing that I've seen is " Losing fluid".)

I've seen this clue in The Guardian.

Want a hint initially instead of a full solution? Install my app