Something to refresh primarily damp and chilly venue (5)
I believe the answer is:
drink
'something to refresh' is the definition.
I can't tell whether this definition defines the answer.
'primarily damp and chilly venue' is the wordplay.
'primarily' suggests taking the first letters.
'and' says to put letters next to each other.
'chilly venue' becomes 'rink' (I can't explain this - if you can you should give a lot more credence to this answer).
The initial letter of 'damp' is 'd'.
'd'+'rink'='DRINK'
Can you help me to learn more?
(Other definitions for drink that I've seen before include "Consume alcohol" , "Possibly shake" , "Liquid refreshment" , "Take 1 ac" , "Eg, beer" .)