The answer would be yes an no 
You couldnt get anymore +10% rech as at 5 it caps it... although Apoc set gives different set bonuses to say unbreakable constraint.
Off the top of me head i think apoc gives some regen/3Hp an 4%dam buff where as unbreakable constraint gives end recovery an resist to fire an ice etc...So you can still get some set bonuses but the 10%rech is no as they all give 10%rech so would cap it.
Hope that makes sense 
"We're not tools of the Government or anyone else...
Fighting was the only thing, the only thing I was good at...
But atleast...I always fought for what I believed in!" (Gray Fox)
@Captain Paragon EU @Captain Paragon.
The 5 set bonus only kicks in if the exact same (% and effect) benefit is there. Haven't checked what the sets you list actually do, but if all 5 of them gave (say) +5% recharge, then the recharge benefit from a 6th set also giving +5% recharge would be lost.
You'd still get a bonus from a set giving +4% recharge, though, or a set giving +5% regen.
So, if the 5 existing sets are giving different benefits[1], you can get full effect from another set.
[1] Or, more accurately, they're not all giving the same benefit!
Ok so just to clarify something on this, If say for example Apocalypse gives set bonuses of
Regen 16%
Max Health 3%
Damage 4%
Recharge 10%
Psi Def 5%
Would that mean if that was my 5th Purple set with the same bonuses, and I added Coercive persuasion which has bonuses of,
Recovery 4%
Confuse 4%
Damage 4%
Recharge 10%
Ranged Def 5%
Does this mean I would not get the Damage and Recharge bonus?? Or as the whole Set has differing bonuses would I get it then ?
**confused**
Carlsberg don't do Farming,
But if they did..........
The limit's applied to individual bonuses, rather than sets as a whole, so you'd only lose the Damage and Recharge from that 6th set.
Ahhhh ok think i have it now. ;P
Thank you Standoff, been trying to sqeeze recharge into my build, managed to get Indom Will down to 98sec rech, so only 8sec down time and perma hasten.
Don't see me getting better than that tho xD
Carlsberg don't do Farming,
But if they did..........
yw
Set specifics aren't something I'm particularly clued up on (I just buy shiny things that catch my eye when I happen to be shopping), but have you checked this list to see if there's anything you can squeeze a few extra % out with?
I have 5 Purple sets in My build...
Fortunata Hypnosis
Unbreakable Constraint
Coercive Persuasion
Ragnarock
Apocalypse
Would I gain any bonus from another set of purples or would that funny 5 set bonus thing kick in?
Carlsberg don't do Farming,
But if they did..........