One of the attractions of the V1 is the ability to use non-CX lenses, ranging from F-mount, C-mount, Canon, Minolta, Fujica, M42 and many more through the use of adapters. Other than with AF F-mount lenses, you will lose AF, all autoexposure modes, and won't record any EXIF information. There is no AF peaking, so focusing can be difficult as the AF confirmation dot isn't very accurate.
I got a generic C-mount adapter and a generic 35mm f/1.2 C-mount lens (branded 'Fotasy') on eBay. It's a challenging lens, with a non-uniform field plane of focus. OOF can get swirly (apparently common to C-mount lenses). But it is sharp when you nail the focus.
I used this lens a few times, but the results have been less than optimal. It hasn't found a regular place in my bag. I was considering other C-mount lenses, but that plan has been put on the backburner after buying the 18.5mm and the FT-1.
More samples here