Trustworthy university shifted blame for pinching fruit (13)

I believe the answer is:

unimpeachable

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'trustworthy' is the definition.
(thesaurus)

'university shifted blame for pinching fruit' is the wordplay.
'university' becomes 'uni' (informal abbreviation).
'shifted blame' becomes 'mable' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'for pinching' is an insertion indicator (some letters pinch or steal others).
'fruit' becomes 'peach' (type of fruit).
'mable' going around 'peach' is 'mpeachable'.
'uni'+'mpeachable'='UNIMPEACHABLE'

Can you help me to learn more?

(Other definitions for unimpeachable that I've seen before include "Beyond doubt or reproach" , "Blameless" .)

I've seen this clue in The Times.

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