Rings, receiving greeting from US state (4)
I believe the answer is:
ohio
'us state' is the definition.
(I've seen this before)
'rings receiving greeting' is the wordplay.
'rings' becomes 'oo' (multiple circles).
'receiving' is an insertion indicator.
'greeting' becomes 'hi' (hi is a kind of greeting).
'oo' going around 'hi' is 'OHIO'.
'from' acts as a link.
(Other definitions for ohio that I've seen before include "American state, capital Columbus" , "state of America" , "Supporting framework" , "State of east central US" , "great river" .)