Possibly face up to a hot drink (3,2,3)

I believe the answer is:

cup of tea

Here is my best explanation:

'a hot drink' is the definition.
(I've seen this before)

'possibly face up to' is the wordplay.
'possibly' is an anagram indicator.
'face'+'up'+'to'='faceupto'
'faceupto' is an anagram of 'CUP OF TEA'.

This clue was last seen in The Globe and Mail