Insect discovered when reviewing modest establishment (6)

I believe the answer is:

tsetse

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

'insect' is the definition.
(tsetse is a kind of insect)

'when reviewing modest establishment' is the wordplay.
'TSETSE' is hidden backwards within the letters.
But, I am uncertain how the hidden word is indicated.

'discovered' is the link.

Can you help me to learn more?

(Other definitions for tsetse that I've seen before include "bloodsucker" , "Disease-carrying fly" , "flies" , "cause of sleepiness?" , "African transmitter" .)

I've seen this clue in The Irish Times.

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