The luck stat is one of those stats every game has that is either "too good to pass up" or "completely worthless and should be ignored." Stats like that should almost always be axed IMO unless they add something to the game that was not otherwise there, which does not happen in this case. What I mean by this is that if the luck system was not there, no gameplay would change. The luck system presents the player with a meaningless choice that only serves to complicated character creation.
There are a number of ways in which the luck system could be made into an interesting stat (maybe if the luck stat has a high chance to generating a consumable item that would be useful for quests nearby/etc) but honestly why bother? There are already multiple ways that have been mentioned in this thread for the player to manage the economy of the game without the luck stat.