Squeezes cycling crew between leaders in team's new set-up (8)

'squeezes cycling' is the definition.
'tightens' can be an answer for 'squeezes'. I'm not certain of the 'cycling' bit.

'crew between leaders in team's new set-up' is the wordplay.
'crew' becomes 'igh' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'between' indicates putting letters inside.
'leaders in' indicates taking the first letters.
'up' indicates anagramming the letters.
The initial letters of 'teams new' is 'tn'.
'tn'+'set'='tnset'
'tnset' with letters rearranged gives 'ttens'.
'igh' going inside 'ttens' is 'TIGHTENS'.

Can you help me to learn more?