Polymeric BODIPY dyes including light harvesting BODIPY unit-comprising multichromophores are provided. In some embodiments, the dyes are polymeric tandem dyes that include a light harvesting BODIPY unit-comprising multichromophore and an acceptor chromophore covalently linked to the multichromophore in energy-receiving proximity therewith. The polymeric tandem dyes may be covalently linked to a specific binding member. Also provided are methods of evaluating a sample for the presence of a target analyte and methods of labelling a target molecule using compositions including the polymeric tandem dyes. Kits and systems for practicing the subject methods are also provided.