I am starting a medical sea of green and am wondering how quickly I can go from clone to flower without burning the plant with nutrients I realize they will be small but with my situation I need tiny plants any help would be great thanks!

Depending on how large you want the finished plant to be, you can start flowering cuttings as soon as they are rooted.

Do I start with full strength nutes as soon as they have roots?
I am using the general hydroponic flora series

As with any plant, start 1/2 strength and work your way up. The plant will let you know what it wants. I personally have used the flora series and 1/2 always did my plants just fine.