US corporation's new production of 'Fame', gripping musical (6,3)

I believe the answer is:

fannie mae

I'm a little stuck... Click here to teach me more about this clue!

'us corporation's' is the definition.
'Fannie Mae' can be an answer for 'corporation's' (Fannie Mae is an example). I am not sure about the 'us' bit.

'new production of fame gripping musical' is the wordplay.
'new production of' indicates an anagram.
'gripping' is an insertion indicator (inserted letters are gripped).
'musical' becomes 'annie' (Annie is a Broadway musical).
'fame' is an anagram of 'fmae'.
'fmae' enclosing 'annie' is 'FANNIE MAE'.

Can you help me to learn more?

(Another definition for fannie mae that I've seen is " American corporation".)

I've seen this clue in The Telegraph.

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