Strongly lensed supernovae are excellent laboratories for inferring cosmological parameters and understanding explosive astrophysics. The lensing magnification acts as a "gravitaitonal telescope" to amplify the light of distant supernovae and study them in great detail - which is important to constrain the systematics in dark energy inference with the Hubble diagram - a very timely problem given the hints that dark energy maybe evolving with cosmic time. Moreover, strongly lensed supernovae are also an independent probe of the Hubble Constant - the value of which is heavily debated, as the local Cepheid distance ladder is discrepant with the early universe inference. In this talk I will summarise results from our recent paper on possible interpretation of deviations from dark energy as a cosmological constant in light of unknown astrophysical or instrumental effects. I will also show results from recent work on detailed predictions for the precision of lensed supernova time-delays and the importance of model complexity in minimising bias from time-delay cosmography.