Chat with doctor keeping loose skin oddly hidden (6)
I believe the answer is:
gossip
'chat' is the definition.
(I know that chat can be written as gossip)
'doctor keeping loose skin oddly hidden' is the wordplay.
'doctor' becomes 'gp' (general practitioner).
'keeping' is an insertion indicator (some letters kept inside).
'oddly hidden' means one should take alternating letters (letters in odd-numbered positions removed).
'loose'+'skin'='looseskin'
The alternating letters of 'looseskin' are 'ossi'.
'gp' placed around 'ossi' is 'GOSSIP'.
'with' is the link.
(Other definitions for gossip that I've seen before include "'Rumours, scandal (6)'" , "Busybody" , "Blatherskite" , "creating scandal" , "Schmooze" .)