No, the show would never allow violence since it's a kids show and the creators wouldn't show blood or anything disgusting.
I've watched every episode and it's not, though the show does consist of Tom being killed sometimes but in the next episode he reappears unharmed.
Tom and Jerry isn't violent it's simply a cat trying to catch a mouse it's not like it's showing any blood/gore or anything like that and the show is based for children so I don't think so.
You can say violent but not too violent.you can see that in some episodes they help each other and even save each others life.like in shiver me whiskers and tom and jerry the movie.
Yes of course, The Tom and Jerry is a violent show, Even that`s funny because their moves, skills, idiotnic sometimes and etc. Tom and Jerry is a show for kids but the parents need to guide them. Tom and Jerr is Rated PG or Parental Guidance!