Can gynecomastia make my nipples leak a clear liquid?

Not Common. Nipple discharge of any kind is not typically seen with gynecomastia. Best to be evaluated by your physician to determine cause of this charge. Best wishes.
Not by itself. It may not be gynecomastia doing this. Either there is irritation of the nipple and you are seeing oozing as liquid or it maybe a sign of pathology in the breast tissue. You definitely need to see a doctor preferably a breast doctor.
Sort of. The same thing causing the gynecomastia may cause the disch. If there is a family history of breast cancer, must get mammogram. Removal by surgery or laser lipo may be good options.