Disintegrates when one removes the hoops from? (8)

'from?' is the definition.
I can't judge whether this definition defines the answer.

'disintegrates when one removes the hoops' is the wordplay.
'disintegrates' becomes 'di' (I am not sure about this - if you are sure you should believe this answer much more).
'when' becomes 'as' (eg 'when I walked' means 'as I walked').
'one' becomes 'a' (a thing is one thing).
'removes' suggests deleting specific letters.
'the hoops' becomes 'bands' (I've seen this in another clue).
'as' with 'a' taken out is 's'.
'di'+'s'+'bands'='DISBANDS'

Can you help me to learn more?