There’s nothing in the right container for a bird (5)
I believe the answer is:
robin
'a bird' is the definition.
(robin is a kind of bird)
'there's nothing in the right container' is the wordplay.
'there's nothing' becomes 'o' (I've seen this in other clues).
'in' means one lot of letters goes inside another.
'the right' becomes 'R' (common abbreviation).
'container' becomes 'bin' (bin is a type of container).
'r'+'bin'='rbin'
'o' placed inside 'rbin' is 'ROBIN'.
'for' is the link.
(Other definitions for robin that I've seen before include "Bird - one in Lincoln green?" , "Bird; Batman's aide" , "Small brown and red bird" , "So-called outlaw" , "See 12" .)