Armstrong has stomach upset (7)

I believe the answer is:

satchmo

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'armstrong' is the definition.
I know nothing about this answer so I cannot judge whether this works.

'stomach upset' is the wordplay.
'upset' indicates anagramming the letters.
'stomach' is an anagram of 'SATCHMO'.

'has' is the link.

Can you help me to learn more?

(Other definitions for satchmo that I've seen before include "trumpeter" , "Jazz musician" , "Louis Armstrong's nickname" , "Name used by jazz player Louis Armstrong" , "Louis Armstrong's byname" .)

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