It'll work. You can have five luck of the gambler recharges and five basilisks/kinetic crashes and you'll get the recharge bonus from all ten.
It was discussed before in a few places, give it a read if you're interested.
http://boards.cityofheroes.com/showthread.php?t=198631
Thanks for the info!! and link 
Main: Praetor Imperium Elec/SS/Mu
And to prove it works, my Illusion/Rad build has 4 Luck of the Gambler Rech and 3 sets of Baz Gaze.
LOCAL MAN! The most famous hero of all. There are more newspaper stories about me than anyone else. "Local Man wins Medal of Honor." "Local Man opens Animal Shelter." "Local Man Charged with..." (Um, forget about that one.)
Guide Links: Earth/Rad Guide, Illusion/Rad Guide, Electric Control
I am sure someone out thier has tryed this and knows the answer.
Can you stack....
5 Luck of the Gambler 7.5% Global Recharge with...
Additional 7.5% recharge bonuses off other sets (like Basilisk's Gaze).
At first... it would seem no. 5 of the same type bonus, however.
I know with messing around with Smash/Lethal Bonuses on my tanker that just because it gives the same bonus, doesn't mean it is the same bonus when it comes to the rule of 5.
Luck of the Gamlber Recharge shows up on your power window as:
Luck of the Gambler: Global Recharge 7.5%
Were as other Recharge bonus will be in this format.
Huge Recharge Bonus 6.25%.
I'm thinking Basilisk's Gaze would indeed stack with luck of the Gambler.
Anyone out thier that could confirm? or prove it doesn't work?
Main: Praetor Imperium Elec/SS/Mu