I'm thinking the Browning 380 and 22 are scaled down from a standard (including Officer's and Commander's versions) so they are not going to fit...perhaps Kimber Micro-9?
Call the Tech Services department of the Laser Grip Company and ask them.
I really like it a lot. But I do not like shooting iron sites and the gun is too small to fit a red dot so I was thinking like on my sick Pete 238. I have a laser on that and it works out great for me so I wanted to see if I could put one on this gun