S'mon said:
PHB pg 124, bottom left of page under Full Attack:
"If you get more than one attack per action because your base attack bonus is high enough, because you fight with two weapons, because you're using a double weapon, or for some special reason (such as a feat or a magic item) you must use the full attack action to get your additional attacks."
pg. 80, Cleave:
"...you get an immediate, extra melee attack..."
Page 124 is referring to your normal attacks per action.
A cleave, great cleave, an AoO, or a Speed weapon gives you extra attacks outside of your normal attack action. (That's extra, as in "In additioin to".)
They are not part of your normal attack sequence, and thus are not governed by the rule on page 124. Two weapon fighting, double weapons, extra attacks from a high BAB, Rapid Shot, Improved Two weapon fighting all add to the number of attacks in your normal full attack action, they do not happen outside of an attack action.
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