Green’s Dictionary of Slang

tom and dick adj.

sick, ill.

1971		J. Jones Rhy. Cockney Sl.
1985		J. Sullivan ‘Happy Returns’ Only Fools and Horses [TV script] Leave it out Rodney, you’re making me feel quite Tom and Dick you really are.
2002		M. Coles More Bible in Cockney 65: Tom-and-Dick people were carried out into the streets and they were placed on Uncle Neds and dog-and-cats.