Look for someone with height in football team, not lacking heart (7)
I believe the answer is:
manhunt
'look for someone' is the definition.
'height in football team not lacking heart' is the wordplay.
'height' becomes 'h'.
'in' is an insertion indicator.
'football team' becomes 'manu' (short for Manchester United).
'lacking heart' means to remove the middle letters.
'not' with its middle removed is 'nt'.
'h' put into 'manu' is 'manhu'.
'manhu'+'nt'='MANHUNT'
'with' is the link.
(Other definitions for manhunt that I've seen before include "Search for wanted person" , "Pursuit of missing person" , "Police search operation" , "in which one wanted to be found?" , "Search for criminal" .)