R.I. Gen. Laws § 9-5-30
If resident attorney, as provided in § 9-5-29, shall die, resign, or remove from the state, the individual or partnership shall forthwith file with the secretary of state a further similar written power appointing some other competent resident in this state as his or her or its attorney for the purpose as provided in § 9-5-29. No power of attorney required to be filed by § 9-5-29 shall be revoked until after a like power shall have been given to some other competent person resident in this state and filed. Any such individual or partnership which has ceased to have a usual place of business in this state or to be engaged in this state in the construction, erection, alteration, or repair of a building, bridge, railroad, railway, or structure of any kind, may, however, revoke the power of attorney by a written instrument of revocation filed in the office of the secretary of state; but no such revocation shall be effective as to any liability arising out of any act or omission occurring prior to the time when the individual or partnership ceased to have a usual place of business in this state or to be engaged here.
R.I. Gen. Laws § 9-5-30