Green’s Dictionary of Slang

wrung out (like a dishcloth) adj.

(orig. US) exhausted.

[US]J. Thompson Savage Night (1991) 114: I was still awfully weak and wrung out.
[NZ]McGill Dict. of Kiwi Sl. 126/2: wrung out like a dishcloth exhausted from heat or excessive activity.
[US]B. McCarthy Vice Cop 180: By the time we had fished haggling [...] we were all pretty tired, wrung out.
[NZ]McGill Reed Dict. of N.Z. Sl. [as cit. 1988].
[Aus]D. Whish-Wilson Shore Leave 105: ‘You look all wrung out, son. You get some?’.