... to me it was like listening to thin slices of Sonic Youth, Joy Division, Lamb (or any one of five similar) melded nicely with something extra added in to each track One had a guitar sound that was so Chris Issak...
You could add Mazzy Star, The Cocteau Twins, and The Cure to that list. Maybe this is why it sounds good from the first play, because it's somehow familiar?
The most obvious homage for me though is the early New Orderish slow synths and Hooky bass line on songs like Heart Skipped a Beat. Sounds good to me.
Re Hot Chip, I read somewhere that they went to the same school, as did Four Tet and Burial (!)