Concerning the spell, Kinetic Reverberation.

[Malagant]

The text of the spell, Kinetic Reverberation reads:
Copied from d20pfsrd.com

This spell converts the momentum and force from melee attacks made against the target of the spell, reflecting them back upon the attacker’s weapon. After making a successful melee attack against the target, an attacker must make a Fortitude saving throw for the weapon used. If the weapon fails the save, it takes damage equal to the damage rolled against the target. Creatures using natural attacks or unarmed strikes are unaffected by this spell.

The question is, does the original target of the attack take damage when the damage is successfully "reflected" back on the attacker's weapon? The language of the spell implies No, but it doesn't spell it out specifically.

[Tarik Blackhands]

Why wouldn't the target still take the damage?

A successful attack roll was made, damage got rolled, and nothing in the spell's verbage says damage on the target is negated. Spell only does what it says it does, and what it says is that the attacker's weapon takes damage equal to what the target took, save pending.

[Xenocrat]

The language of the spell doesn't imply "no" at all. As Tarik says, you still take damage, it's just that so does your attacker's weapon.