Green’s Dictionary of Slang

giggle and titter n.

also chirrup..., laugh..., smile...
[rhy. sl.]

bitter beer.

[UK]Yorks Eve. Post 16 Oct. 5/4: The jargon of the ‘Tommy’ [...] is a never-ending source of wonder to canteen workers and barmaids, with orders for a ‘drop o’ pigs’ or a laugh and titter.’.
[UK]J. Franklyn Dict. of Rhy. Sl. 50/2: Chirrup and titter/Giggle and titter Bitter (beer, not fate) [...] has its greatest currency in the theatrical profession. Lupino Lane.
[UK]Dodson & Saczek Dict. of Cockney Rhy. Sl.
[UK]R. Puxley Cockney Rabbit.
[UK]B. Kirkpatrick Wicked Cockney Rhy. Sl. 33: giggle and titter pint of bitter.