You wear gloves at the bench for one of two reasons: Either to protect YOU from your experiment, or to protect your experiment from you. (Okay, sometimes it's both at the same time.) In any case, gloved hands should never touch your face, arms, skin, or cell phone.
You can wash and dry gloved hands (or use ethanol on them) to clean as needed. However, before you do, ask your research advisor for guidelines so you always make the safe choice. In some cases, it's better to discard the gloves and get a fresh pair.