Caught by eye, timorous beast from the East (4)
I believe the answer is:
yeti
'beast from the east' is the definition.
(yetis are supposedly found in the Himalayas)
'caught by eye timorous' is the wordplay.
'caught by' says the answer is hidden in the clue.
'YETI' can be found hidden inside 'eye timorous'.
(Other definitions for yeti that I've seen before include "Legendary beast of the Himalayas?" , "whose existence is unconfirmed" , "mythical creature" , "seeks him in the Himalayas" , "... and creature supposedly there" .)