Yes, but apparently more common in America. Opie, Oxford Dictionary of Nursery Rhymes (1951), no. 360:

"Mother, may I go and bathe?
Yes, my darling daughter.
Hang your clothes on yonder tree,
But don't go near the water.

" 'Holiday tasks', remarks Letitia's uncle in Walter de la Mare's The Scarecrow (1945), '...always remind me, my dear, of the young lady who wanted to go out to swim:

"Mother, may I go out to swim?
Yes, my darling daughter.
Hang your clothes up neat and trim,
And don't go near the water.'

" 'The rhyme I know', said Letitia, is, 'Hang your clothes on a hickory limb.' 'That's all very well', said her uncle, 'but just you show me one!'

"The rhyme, though not often found in print, seems to be familiar in many households (in America more than in England), and may have been the inspiration of the recent dance song 'Mother may I go out dancing?' "