Cheers very short, beginning to need somewhere to drink! (6)
I believe the answer is:
tavern
'somewhere to drink' is the definition.
(type of drinking establishment)
'cheers very short beginning to need' is the wordplay.
'cheers' becomes 'ta' (both can informally mean thank you).
'short' means to remove the last letter.
'beginning to' suggests taking the first letters.
The first letter of 'need' is 'n'.
'very' with its last letter taken away is 'ver'.
'ta'+'ver'+'n'='TAVERN'
(Other definitions for tavern that I've seen before include "An old English pub" , "Old song: 'There is a ...... in the town, in the town'" , "Tap house" , "Building with a bar" , "Old-fashioned word for pub" .)