Fluorogenic sensors for a target analyte are provided. The fluorogenic sensors can include a water soluble light harvesting multichromophore and a fluorogenic dye covalently linked to the multichromophore and in energy-receiving proximity therewith. Aspects of the fluorogenic sensors include selective recognition of the target analyte by chemical reaction or by specific binding. In some cases, the linked fluorogenic dye includes a lactone or spiro-lactone group that is configured to chemically react with a target analyte via lactone ring-opening to produce a fluorescent dye configured for excitation by the multichromophore. Also provided are labelled specific binding members that include the subject dyes. Methods of evaluating a sample for the presence of a target analyte and methods of labelling a target molecule in which the subject fluorogenic sensors find use are provided. Systems, devices and kits for practicing the subject methods are provided.