Last bits of Christmas cake, privately, by the coast (7)
I believe the answer is:
seaside
'coast' is the definition.
(I've seen this before)
'last bits of christmas cake privately by' is the wordplay.
'last bits of' indicates one should take the final letters.
'privately' becomes 'aside' (I've seen this before).
'by' says to put letters next to each other.
The last letters of 'christmas cake' are 'se'.
'se'+'aside'='SEASIDE'
'the' is the link.
(Other definitions for seaside that I've seen before include "holiday venue" , "Old song 'I do like to be beside the . . . . . . .'" , "A place on the coast" , "Holiday destination" , "leisure area" .)