Hi,
You can go try to smooth it down with an effect in Premiere called “Warp Stabilizer”. It’s in the video effects panel. Depending on what exactly you want done, you can smooth some of the movement out with this effect. However, if you do too much, the video will literally looked warped and will distort. So, if you’re just trying to smooth it out a little bit, change the “Stabilization result” to “Smooth motion” and “Smoothness” % to around 20%. Render the clip out once complete and check the results. If it is too warped, turn down the %. Best of luck!
Cheers!