Soldiers army band perhaps provides entertainment (8,6)

I believe the answer is:

military tattoo

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'soldiers army' is the definition.
I know nothing about this answer so I cannot tell whether this works.

'band perhaps provides entertainment' is the wordplay.
I cannot quite see how this works, but
'band' could be 'military' (military band is a kind of band) and 'military' is found in the answer.
'entertainment' could be 'tattoo' (I have seen 'Military entertainment ' mean 'tattoo' so perhaps 'entertainment' could also mean 'tattoo') and 'tattoo' is found within the answer.
No letters remain.
This explanation may well be incorrect...

Can you help me to learn more?

I've seen this clue in The Independent.

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