Bound to be clocked, losing minutes (4)
I believe the answer is:
tied
'bound' is the definition.
('tie' can be a synonym of 'bind')
'clocked losing minutes' is the wordplay.
'clocked' becomes 'timed' ('time' can be a synonym of 'clock').
'losing' suggests deleting specific letters.
'minutes' becomes 'm'.
'timed' with 'm' taken away is 'TIED'.
'to be' is the link.
(Other definitions for tied that I've seen before include "Drew; bound" , "eg Scored 1-1" , "Bound; placed equal" , "Bound or secured" , "Made bow" .)