Since 1636 the occupant of what was the Crown & Thistle pub (now part of O'Neill's) on Loseby Lane paid a peppercorn 'rent' of a damask rose and four old pennies to the Lord Mayor of Leicester. More details can be read here.
Why was this lovely old custom allowed to quietly die when the pub was absorbed into O'Neill's in 1997?
Update 6:30pm: Lord Mayor tweets that he'll see what he can do: https://twitter.com/LeicesterMayor/status/19498460378
Update 28/07/2010: Lord Mayor discussed this on BBC Radio Leicester (34mins in) and apparently O'Neill's are up for bringing it back: http://twitter.com/LeicesterMayor/status/19721471851
Update 15/11/2010: Leicester Mercury reports that the custom will be brought back next summer. Thanks to the Lord Mayor and O'Neill's.
Update 24/06/2011: The damask rose ceremony was held again after a 10 year absence (but were the arrears paid?!)