Umm, you don't cut your muscles, you cut bodyfat, which comes from strength training + diet.
Anyway, I think fullbody 3x/wk is usually your best bet. Pick a leg exercise, a push, a hinge and a pull for each session. So, either a squat variation or leg press, bench/dips/overhead press/jerk, deadlift/RDL/Oly lifts, and pull ups/pull downs/rows.
In theory at least, dynamic effort is the best mode of training each lift while cutting. So, instead of 3x8 (for example), do 8x3 with the same weight (or even less weight) as fast as possible. The reason for dynamic effort over maximal effort (1-5RM work) and repetition effort (10-20RM work) is that they both burn you out very quickly while cutting. ME loads the skeletal structure more than can easily be handled longterm while cutting, and RE builds up too much fatigue. But DE hits a nice balance of producing stress, maintaining muscularity and allowing some degree of progressive overload, without accumulating too much fatigue or overloading the skeletal system. Of course, each of the 3 main types of effort can be used, but DE is (again, in theory) probably your best bet.
So, you might have 2 alternating sessions, an A/B split with you training Mon/Wed/Fri, and every time you walk in the gym door you'd start the session that you didn't do the previous time (so, if you did A 2-3 days ago, you do B today, and vice versa). Here's an example session plan:
A: Speed squats 10x2, speed bench press 8x3, speed deadlifts 10x1, speed pull ups 8x3
B: Clean and jerk 15x1 (there's your legs, push and hinge all in one exercise), dead rows (AKA Pendlay rows) 10x2
You'd start each lift at 50% 1RM, except for C+J which you'd start at 60-70% 1RM. You'd assess how your speed is at the end of each session, and if your last set is as fast as your first and you still feel like you could do more before you start slowing down, increase the weight by 2.5kg next time. Try and start each work set every minute, on the minute. If you need more rest between sets, then you've chosen a load that's too heavy.
Now, all of this assumes that you're already competent at each lift that you perform - if you aren't already skilled at a lift, then increasing the speed you work at is not a good idea. Competence comes first, speed comes second.
I hope this helps, and gives you some ideas.
