Drink tea that's picked up and then mostly shelved (5)
I believe the answer is:
tonic
'drink' is the definition.
(I know that tonic is a type of Non-alcoholic drink)
'tea that's picked up and then mostly shelved' is the wordplay.
'that's picked up' shows a homophone (sound like).
'and then' is a charade indicator (letters next to each other) (I've seen this in other clues).
'mostly' means to remove the last letter.
'shelved' becomes 'on ice' (both can mean postponed).
'tea' is a homophone of 't'.
'onice' with its final letter taken away is 'onic'.
't'+'onic'='TONIC'
(Other definitions for tonic that I've seen before include "Medical restorative" , "Invigorating liquid" , "that may be mixed with gin" , "makes you feel good?" , "Small drink of spirits" .)