...just wondering if anybody knows how many games it takes after restoring chat privileges to get keys etc, back?
There's no hard-set number. Once you clear your Chat Restriction and get your Honor unlocked, it'll take time to reclimb in Honor to Level 2 - and the amount of games it'll take depends on your own behavior. Behave poorly, and you won't make any progress; behave positively, and thing's'll go smoothly.
Additionally, you'll want to honor players post-game, as you gain more Honor from the Full Team Honor Bonus than you would simply playing the game through or being honored yourself.
I've seen some players say that it takes roughly a month to reclimb to Honor 2 (from 1), while others may take longer, somewhere in the range of 2-3 months of consistent play.
EDIT: Misread; leaving the above for reference to rewards pertaining to Honor Level 2 (Ranked End of Season Rewards, Clash Eligibility, etc.);
Not sure about how long Honor Lock lasts, I haven't seen any solid information about how long it takes to unlock, I just know that you get reduced Key Fragment generation at Honor Level 1, standard generation at Level 2, and further rewards going up the Honor Levels.