We present a detailed study of the cluster pair SL 353 & SL 349 . This candidate binary cluster is located at the northwestern rim of the LMC bar . Based on photometric data we find that both clusters are coeval with an age of 550 \pm 100 Myr . We use the Ca II triplet in the spectra of individual red giants to derive radial velocities . Both components of the binary cluster candidate show very similar mean velocities ( \approx 274 \pm 10 km \mbox { s } ^ { -1 } for SL 349 and \approx 279 \pm 4 km \mbox { s } ^ { -1 } for SL 353 ) while the field stars show lower velocities ( \approx 240 \pm 19 km \mbox { s } ^ { -1 } ) . These findings suggest a common origin of the two clusters from the same GMC . In this sense the cluster pair may constitute a true binary cluster . We furthermore investigate the stellar densities in and around the star clusters and compare them with isopleths created from artificial , interacting as well as non-interacting star clusters . Gravitational interaction leads to a distortion which can also be found in the observed pair .