The startup of the LHC opens many new frontiers in precision flavour physics, in particular expanding the field of precision time-dependent CP violation measurements to the B0s system. This seminar will review the status of time-dependent CP violation measurements at the LHC's dedicated flavour physics experiment, LHCb. Particular attention is given to the measurement of the CKM angle gamma from the decay mode B0s->DsK, a theoretically clean and precise method which is unique to LHCb. The performance of the LHCb detector for this and related modes will be reviewed in light of early data taking, and the outlook for these measurements in 2011 discussed.