Sent to rush around a glove (8)
I believe the answer is:
remitted
'sent' is the definition.
(I've seen this before)
'rush around a glove' is the wordplay.
'rush' becomes 'reed' (I've seen this before).
'around' means one lot of letters goes inside another.
'a glove' becomes 'mitt' (synonyms).
'reed' going around 'mitt' is 'REMITTED'.
'to' is the link.
(Other definitions for remitted that I've seen before include "Sent money in payment for purchase" , "Sent money to pay bill" , "Send money in payment" .)