Shocker that could make you stare (5)
I believe the answer is:
taser
'shocker' is the definition.
(something which gives electric shocks)
'could make you stare' is the wordplay.
'could make you' is an anagram indicator.
'stare' with letters rearranged gives 'TASER'.
'that' acts as a link.
(Other definitions for taser that I've seen before include "A shocking thing" , "Police stun weapon" , "Stun gun" , "Device using electrified darts to stun" , "The weapon delivers a temporary paralysing electric shock" .)