I checked various editions of both EPD and LDP to see when the pronunciation of Tuesday as /ʧuːzdeɪ, -dɪ/ was first 'licensed' by the respective (and respectable) author(s).
LPD1 (1990) has it as a second entry indicating it's a "variant derived by rule" (p. xxviii).
EPD14 (1977) does not show it as a variant but EPD15 of 1997 does1.
Go on chewing then!
1 Thanks to Jack Windsor Lewis for checking!