Cut grass over one trimmed part of garden (6)

'cut' is the definition.
I don't know anything about this answer so I cannot tell whether this works.

'grass over one trimmed part of garden' is the wordplay.
'grass' becomes 'rye' (I've seen this before).
'over' is an insertion indicator.
'one' becomes 'i' (Roman numeral).
'trimmed' means to remove the last letter (the final letter is trimmed off).
'part of garden' becomes 'bed' (flower bed).
'bed' with its last letter taken off is 'be'.
'i'+'be'='ibe'
'rye' going around 'ibe' is 'RIBEYE'.

Can you help me to learn more?