Odysseus's first demand - to hold you once like a Cyclops (3-4)
I believe the answer is:
one-eyed
'a cyclops' is the definition.
'odysseus's first demand to hold you once' is the wordplay.
'first' suggests taking the first letters.
'demand' becomes 'need' ('need' can be a synonym of 'demand').
'to hold' indicates putting letters inside.
'you once' becomes 'ye' (I've seen this in other clues).
The first letter of 'odysseus' is 'o'.
'need' enclosing 'ye' is 'neeyed'.
'o'+'neeyed'='ONE-EYED'
'like' is the link.
(Other definitions for one-eyed that I've seen before include "Monocular" , "Like Cyclops" , "''In the country of the blind, the . . .-. . . . man is King''" , "Like the Jack of spades or hearts" .)