Drinking Heavily May Increase Stomach Cancer Risk in Men. myfoxdetroit.com. Nov. 02,  2011. FOX 2 is working for your health with more reasons to keep your alcohol intake within the moderate range if you chose to drink at all.A large, new European analysis of several studies on the subject suggests that drinking more than four alcoholic drinks in a day may raise the risk of stomach cancer. Now, these latest findings from a study of more than half a million European adults suggests that men who drink heavily are about twice as likely to develop the cancer than light drinkers.  Doctors didn’t see a similar connection in women, but there were also significantly fewer heavy female drinkers in the study. The bottom line is any health benefits that you get from drinking alcohol go out the window when you exceed what is considered a moderate amount. That’s one drink a day for ladies and two for the guys.