Is it possible to have your pet follow you around town or even just in the farm? Maybe clicking on the pet will set it to follow you and clicking it while it is following will set it back to roaming the farm.
I really like this idea. The pet currently seems pretty useless, except to sit there and look pretty (and get in the way ). Maybe you can't tell your pet to follow you until you get the "(Petname) loves you" dialog?
Would be nice if someone modded in Mice or Groundhogs and based on what pet you have they go away. But that may be too complicated. I would be happy if my cat caught a few crows every now and then or my dog brought me a rabbit's foot.
http://community.playstarbound.com/threads/smapi-consilliums-pet-enhancement-mod.114314/ look at this
Someone asked the same thing on a forum in Reddit concerning pets, and if they were to ever be beneficial in the game aside from it being an aesthetic, and this was what Concerned Ape said: Anyway, just like what RaduDevil said above, there is currently a mod that will make your dog/cat follow you.