You should check your weapon, it looks like you are switching from a bow to a dagger.
If its that, then I'm wondering why aren't the other stats changed, like p.atk and accuracy from bow to dagger since both weapons have very different stats?
Im not sure what could be wrong tho.. did you try relogging?
Just checked with my iss and it works fine (i.e if i buff something after, my atk speed is the same)
but i have no SR so i cant check if its a problem with those specific skills.
This resembles the issue with summons speed, m.atk and p.atk constantly bouncing up and down while in combat mode.
As in going from 220 to 330 speed back and forth.
Can't rly see why the atk speed bounces 3 diferent numbers. Oo
Had the same issue leveling a SR ...
Every selfbuff affecting attack speed (rapid shot,rapid fire,counter rapid shot) that is cast/activated after the iss buffs, loses its effect after you start shooting ... Some few times it would just work correctly but i wasn't able to figure out what caused it :(
As for the speed "issue", its an elf racial passive skill after awakening granting +13 speed when out of combat.