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I don't know this Snapchat stuff so much but just chatting online? Not like dancing naked in front of them?
Update,Update responseI don't feel talking to other guys is cheating. However it can point to behaviors that can indicate someone as likley to cheat.Snapchat is a very poor choice of communication tools as it automatically deletes messages. It tells an outside observer the user wants to hide something.You say he caught you twice.He has expressed he feels uncomfortable with you talking to other guys, yet you still do it anyways. Now I know it's not his business who you hold a conversation with, but you should have tried to put his concerns at ease instead of ignoring his concerns. From his perspective it tells him you don't value him.Tldr, he's in the wrong, but the optics of the situation are very bad on your end.
Not true for me personally, however VERY true for many guys.