A rochet is a vestment generally worn by a Bishop in choir dress.
Roman Usage
In the Roman Catholic Church, Cardinals, Bishops and certain other dignataries have the use of the rochet, which is a similar garment to the surplice - being worn over the cassock for non-eucharistic functions. Also made of white linen, the rochet is differentiated from the surplice mainly by the narrower sleeves, and is frequently trimmed with lace.
Anglican Use
The Anglican Church also makes use of the rochet, where it is worn by bishops in choir dress. However in Anglican use it more resembles the alb, being made of white linen and reaching almost to the feet, though it has baggy 'lawn' sleeves that are gathered at the wrists with a band of black or scarlet cloth. It is generally worn with the chimere, or with a cope and mitre for more dignified occasions.