Green’s Dictionary of Slang

(US) drunk.

1833		A. Greene Life and Adventures of Dr Dodimus Duckworth II 176: He was seldom down-right drunk; but was often [...] most infernally sawed.
1847		J.M. Field Drama in Pokerville 199: The thoroughly ‘sawed’ victim made way for him as if he had been the cholera incarnate!
a.1856		Burlington Sentinel in Hall (1856) 461: We give a list of a few of the various words and phrases which have been in use, at one time or another, to signify some stage of inebriation: [...] sawed.