The Barksi clean, named for Bob Bednarksi, is simply a high-hang clean triple performed without using straps.
Perform 3 consecutive high-hang cleans without using straps and without setting the bar down between reps.
Not all coaches and athletes agree what constitutes “high hang”. Typically this is a bar starting height above mid-thigh, but it may or may not involve a forward lean of the torso (i.e. it may be a bend at the knees only or nearly so). Clarify before performing.
This exercise is a great clean grip strength developer, and will also help in improving the aggressiveness and completeness of the final extension of the clean, as well as the turnover.
The Barksi clean would be used as a secondary exercise, either on lighter training days or as a lighter exercise in addition to heavier clean training.
The Barksi clean can be performed with fewer or more reps as appropriate, or as power cleans, or even without the hook grip for even greater grip work.