Green’s Dictionary of Slang

feather (and flip) n.

[rhy. sl. = kip n.1 (2)/kip n.1 (3)]

a sleep or a bed.

[UK]P. Allingham Cheapjack 188: ‘What about slippin’ up the apple and pears and gettin’ in feather? I’m just about charvered.’ [...] Feather was short for ‘feather and flip’.
[UK]Thieves Slang ms list from District Police Training Centre, Ryton-on-Dunsmore, Warwicks 4: Feather and flip: Bed.
[UK]J. Franklyn Dict. of Rhy. Sl.
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.
[UK]M. Coles Bible in Cockney 62: There’s no time for a feather whilst reading it.
[Scot](con. 1980s) I. Welsh Skagboys 253: Ah feel like gaun straight back tae the feather n flip.
[Scot]I. Welsh Dead Man’s Trousers [18]: Nae hooring tonight, bud, plenty feather and flip, a big day the morn.