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Motivated by discovering strongly-lensed supernovae, gravitational waves, andkilonovae in the 2020s, we investigate whether to build a watch-list ofclusters based on observed cluster properties (i.e. lens-plane selection) or onthe detectability of strongly-lensed background galaxies (i.e. source-planeselection). First, we estimate the fraction of high-redshift transientprogenitors that reside in galaxies that are themselves too faint to bedetected as being strongly-lensed. We find $\sim15-50$ per cent of transientprogenitors reside in $z = 1-2$ galaxies too faint to be detected in surveysthat reach ${\rm AB}\simeq23$, such as the Dark Energy Survey. This falls to$\ls10$ per cent at depths that will be probed by early data releases of LSST(${\rm AB}\simeq25$). Second, we estimate a conservative lower limit on thefraction of strong lensing clusters that will be missed by magnitude limitedsearches for multiply-imaged galaxies and giant arcs due to the faintness ofsuch images. We find that DES-like surveys will miss $\sim75$ per cent of$10^{15}$M$_\odot$ strong lensing clusters, rising to $\sim100$ per cent of$10^{14}$M$_\odot$ clusters. Deeper surveys, such as LSST, will miss $\sim40$per cent at $10^{15}$M$_\odot$, and $\sim95$ per cent at $10^{14}$M$_\odot$.Our results motivate building a cluster watch-list for strongly-lensedtransients that includes those found by lens-plane selection.

On building a cluster watch-list for identifying strongly lensed supernovae, gravitational waves and kilonovae