Impeachment means that charges are brought against you. This happens in the House of Representatives. The charges are then taken up by the Senate in a trial before the full chamber. Clinton was impeached but found not guilty by the Senate in the trial. Hence he served out the rest of his term.Yes, Vice Presidents can be impeached.Generally, if a Vice President cannot serve out their term the President nominates a replacement which is then confirmed by Congress. The line of succession, since 1947 has been-PresidentVice PresidentSpeaker of the HousePresident pro tempore of the SenateRead the listed article for the other question.ETA: Clinton impeachment proceedings were instigated after he lied to a grand jury investigation as to whether he had an affair with a White House staffer, Monica Lewinsky. Since he lied before a grand jury he perjured himself, which is a crime. The Senate found him not guilty because it was decided that the lie had no ill effect on the government or nation.