Rent out a wader (4)
I believe the answer is:
tern
'a wader' is the definition.
The answer and definition can be both animals as well as being singular nouns.
Maybe you can see a link between them that I can't see?
'rent out' is the wordplay.
'out' is an anagram indicator (out can mean wrong or inaccurate).
'rent' anagrammed gives 'TERN'.
Can you help me to learn more?
(Other definitions for tern that I've seen before include "Small slender gull" , "Long-winged aquatic bird" , "Gull-like sea bird" , "Seabird related to the gull" , "Seabird, sounds like become sour" .)