Irrational and I hesitate to say outsize note providing musical direction (3,5)

I believe the answer is:

piu mosso

'musical direction' is the definition.
(musical direction meaning more quickly)

'irrational and i hesitate to say outsize note' is the wordplay.
'irrational' becomes 'pi' (an irrational number).
'and' says to put letters next to each other.
'i hesitate to say' becomes 'um' (expression of hesitation).
'outsize' becomes 'os'.
'note' becomes 'so' (musical note**).
'pi'+'um'+'os'+'so'='PIU MOSSO'

'providing' acts as a link.

I've seen this clue in The Times.

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