Are cloned cards considered as "tokens"?
Clone has no interaction here with Anointed Procession. Clone does not make tokens, and it is not a token.

Tokens are defined in rule 110.5:


  Some effects put tokens onto the battlefield. A token is a marker used to represent any permanent that isn’t represented by a card.


In your situation, Clone is a card, not a token.

In addition, the full text of the rule you mentioned, rule 706.1 is


  Some objects become or turn another object into a “copy” of a spell, permanent, or card. Some effects create a token that’s a copy of another object. [...]


This is describing two different kinds of effects. Clone is the first kind of effect: it becomes a copy of a permanent. Some other effects will explicitly say that the create tokens, or they will create tokens with some specific keyword abilities or actions like Populate or Fabricate.