Suggest getting familiar (8)
I believe the answer is:
intimate
I believe this is a double definition.
'suggest' is the first definition.
(intimating is a kind of suggesting)
'familiar' is the second definition.
(I know that familiar can be written as intimate)
'getting' acts as a link.
(Other definitions for intimate that I've seen before include "Infer; personal" , "Private and personal like close acquaintanceship" , "Hint to a familiar friend" , "state" , "Close acquaintance" .)