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It depends on the company. Usually if they call the scheme to £1000, usually they own it. If the cap is higher, usually the operator owns it.
See https://help.cyclescheme.co.uk/article/45-who-actually-owns-the-cycle-to-work-package for more.
If you do resign not sure you own it. I did resign once, paid the remaining without the savings, but at the end of the year, Cyclescheme asked me if I wanted to keep the bike or extend the lease until the end of 5 years.
Can’t really do this... your employer owns the bike not you.