I recently did a Geoff Neupert program that involved a ton of heavy double cleans (and even on the days when you're not doing heavy double cleans, you do presses, which require cleans) and I tore a callus on the first day. So my issues were not only protecting the rest of my hands from future wear, but also dealing with the existing wound, which was struggling to heal with 6 days/week of cleans.
I eventually ended up doing the following:
1. Light cotton garden gloves with fingertips cut off
search Amazon for "6 Pair Bulk Pack Jersey Cotton Work & Gardening Gloves, Large (Wells Lamont 501LK-WNW), Brown"
2. In addition, wrist bands that I used for a totally different purpose than intended.
search Amazon for "Treadlife Fitness Kettlebell Arm Wrist Band"
I think these are meant for wrists for sweat control or maybe protecting your wrist from the kettlebell. But I slid them past my fingers and wore them in the palm of my hand for additional protection.
I think in retrospect I used too heavy a weight for the cleans and my form was poor, and that didn't help with the wear & tear on the hands.