My 3 year old at that age was exactly the same for me. My husband was another story he was always sooo excited to see Daddy. But by that time I was always happy to just sneak out for my Mommy time. My now 19 month old is another story. He screams and cries, sometimes will shreek with excitement, but he is all over me and I pretty much can't put him down for a good 10 minutes & I'm a SAHM so its not like I leave him that often.
For my husband (just recently) he gets really giddy and does a little dance and runs up and gives him a big hug. Then just wants him to follow him wherever. I love it when they get so excited to see their Daddy. But this was not always the case for him. Probably started reacting this way right around 15 months or so!!
I'd say your son's reaction is perfect, he feels very confident you will come back. In my experience there are times where each child may be more clingy and other times where they are really at ease with things. For instance, up until this last month, my youngest could care less when I dropped him off at the church nursery. My oldest, at that age, was horrified-- yet both of their response when I came home were total opposites.