Green’s Dictionary of Slang

tip off v.1

also tip off the perch

to die.

[UK]B.E. Dict. Canting Crew n.p.: To Tip off, to Dye.
[UK]J. Gay Beggar’s Opera III iii: Truly, if that great Man should tip off, ’twould be an irreparable Loss.
[UK]Bailey Universal Etym. Eng. Dict. [as cit. c.1698].
[UK]Richardson Clarissa vi 350: Her late husband... tipt off the perch in it, neither knowing how to yield, nor knowing how to conquer [F&H].
[UK]G. Colman Spleen Prologue: While living call me, for your pleasure use me; Should I tip off – I hope you’ll then excuse me.