Nap with small dribble on bottom of chin (6)
I believe the answer is:
snooze
'nap' is the definition.
(I know that snooze is a type of nap)
'small dribble on bottom of chin' is the wordplay.
'small' becomes 's' (abbreviation - e.g. clothes size).
'dribble' becomes 'ooze' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'on' is a charade indicator (letters next to each other).
'bottom of' says to take the final letters.
The last letter of 'chin' is 'n'.
'ooze' put after 'n' is 'nooze'.
's'+'nooze'='SNOOZE'
'with' acts as a link.
Can you help me to learn more?
(Other definitions for snooze that I've seen before include "Take a nap" , "A short light sleep" , "Kip" , "An informal nap" , "drop off" .)