A method and a device in a UE and a base station for wireless communications are provided in the present disclosure. A UE first receives a first signaling, the first signaling is used for indicating M first-type time window(s) in a first sub-band, and the M first-type time window(s) in the first sub-band is(are) reserved for a first-type reference signal, M being a positive integer; the UE then determines that it is only needed to receive the first-type reference signal in M1 first-type time window(s) of the M first-type time window(s) in a first sub-band, M1 being a positive integer no greater than the M. The present disclosure is advantageous in avoiding possible loss of performance in Unlicensed Spectrum resulting from belated determination of beam link failure due to the fact that the reference signal is not transmitted on time.