The only meaning of 博眼球 I've been able to come across is the following from a 百度知道 answer:
but is it really that simple, is that all it means? 'An eyeball-turner?'
What does 博 mean here?
Where did this word originate from?
The pictures associated with this word seems to show that it is of a more perverted nature but it is also used in a more normal fashion elsewhere, e.g.: 漳州：商家为博眼球 促销竟请来"毛主席".