In a July response to a post I listed some for under $200 -
http
/www.tomshardware.com/forum/id-1733549/camcorder-200.html
There are two Sony and two Panasonic models listed in that post. I just checked the links and the two Panasonic models have been discontinued.
The Panasonic HC-V100 has been replaced by the HC-V110 (http

/www.bhphotovideo.com/c/product/910277-REG/panasonic_hc_v110k_hc_v110_full_hd_camcorder.html)
The Canon VIXIA HF R400 Full HD Camcorder might be another one to consider (http

/www.bhphotovideo.com/c/product/909788-REG/Canon_8155b004_VIXIA_HF_R400_Full.html)
All the ones mentioned are under $200.
Edit: I should have read the post more carefully. Not sure any of those qualify as pocket camcorders though they are small.