An Asian to go in search of, one hears (4)
I believe the answer is:
sikh
'an asian' is the definition.
(Sikh is an example)
'go in search of one hears' is the wordplay.
'go in search of' becomes 'seek' (I've seen this in another clue).
'one hears' shows a homophone (sound like) (I've seen 'heard of' mean this).
'seek' sounds like 'SIKH'.
'to' is the link.
(Other definitions for sikh that I've seen before include "An adherent of religion founded in the Punjab" , "Turbanned believer" , "Religious Punjabi" , "Member of Indian religious sect, wears turban" , "Member of religion originating in Punjab" .)