(to) channel - a verb used to describe an item of clothing or an accessory with reference to the influence of the style of an icon, era or designer oversized or outsized - Fashionese for 'big'
There are several reasons that fashion folk use the word channelling so much. One is because it is, to all intents and purposes, another way of saying “copying” that sounds far more admirable and far less like primary school. Another is because it makes getting dressed sound like a form of superhuman act, like channelling the force of some radioactive crystals through our fingertips in order to create a rip in the space-time continuum. It makes it sound important, and fashion folk like feeling important.