Half the people looking to catch us have a sneaking feeling (7)
I believe the answer is:
suspect
'have a sneaking feeling' is the definition.
(someone suspicious has a sneaking feeling)
'half the people looking to catch us' is the wordplay.
'half the' means to take half the letters.
'people looking' becomes 'spectators' (people who are spectating).
'to catch' indicates putting letters inside.
'spectators' cut in half is 'spect'.
'spect' going around 'us' is 'SUSPECT'.
(Other definitions for suspect that I've seen before include "Have misgivings about" , "Have reason to believe" , "Presume" , "Have qualms about" , "Believe (someone) guilty" .)