Found several listings that say it's either a bookmark or a pocket clip @mrs_b*s_collectibles_and_more :
https://www.ebay.com/itm/355260791021
Some have it listed as a tie clip, but most of the ones I found listed as a tie clip have a different style clip on the end.
https://www.ebay.com/itm/175881525452
This one has a clip on both ends:
https://www.ebay.com/itm/134198998968
Have you tried clipping to a book page, to a jacket pocket, and to a tie to see how it fits? Hard to judge the exact size/width of that clip from the pictures you uploaded.