From Moleskine website:
Many Moleskine users send us enquiries as to which is the correct way of pronouncing the word "Moleskine". The answer is: there is no predetermined answer.
Moleskine� is a brand name with undefined national identity. And that's the way we like it. As a literary name, it was used by British travel writer Bruce Chatwin in his book "The Songlines", referred to the little black notebooks he usually bought from a stationery store in Paris.
Everyone should feel free to pronounce it as he/she prefers. Enjoy.
I tend to read it as mos-kin or mo-les-kin.