How likely that minocycline 100 mg BID (1- 2015) & clindamycin cause elevated liver enzymes in hepatic function panel (7)&comp metabolic panel, past IV?

Not likely. You should be screened and evaluated for other causes of liver illness or gallbladder/pancreatic illness.
Pretty high. Minocycline is infamous for inflaming the liver in a few percent of folks treated with it. It's great for acne, but this might be a great time to look for some other treatment. I trust antibiotics are not the only treatment you are receiving for acne; without topical benzoyl peroxide, retinoic acid or something similar they will fail. Best wishes and stay proactive.