요샌 is a colloquial short form of "요새는"
요새 means "these days, nowadays"
는 is a topic marker
The meaning of 요새는 is same to 요새
요새는 잠잘 시간도 없이 바쁘게 지냈다(예전에는 그렇지 않았다)
Nowadays, I have been too busy to get sleep.(It implies that it was not the same in the past)