What is the dogs name that snickered at things his owner did all the time ?

There were a couple cartoon dogs I vaguely remember that snickered. If you are referring to cartoons, the one I think you mean was the Dastardly & Muttley cartoon. Dastardly was the owner and Muttley was the dog that snickered.
Here is a link to a page that might jog your memory: Dastardly and Muttley!

If this isn't the one you are thinking of maybe you mean Mumbly? He snickered a bit too.
The Mumbly Cartoon Show - Wikipedia, the free encyclopedia

There was another cartoon with a dog that I think snickered once in a while. He was Precious Pup and was owned by Granny Sweet Granny Sweet (Precious pup's owner)