Synchro Change

Remove from play 1 face-up Synchro Monster you control. Special Summon 1 Synchro Monster from your Extra Deck whose Level is the same as the removed monster's. Its effect(s) is negated.

Can I use it to special summon a syncrho monster with specfic tuning requirement??

example: Tempest Magician orthose synchro monster that requires Zombie Carrier as it tuner.......etc...

1 Tuner + 1 or more non-Tuner Spellcaster-Type monsters
When this card is Synchro Summoned, place 1 Spell Counter on it. Once per turn, you can discard any number of cards to place 1 Spell Counter on a monster(s) you control for each card you discarded. You can remove all Spell Counters on the field to inflict 500 damage to your opponent for each removed Spell Counter.

Also, if i book of moon the new syncrho monster and flip it up again somehow, will it gain back its effect?

Can Special summon , book of moon the monster will get the effect but Arcanite magician will not get spell counter

Firstly, u can special summon any syncro monters with the level, because the specfic tuning requirement are only for syncro summon. Not any other way.

Secondly, yes. (read if they state only when syncro summon-ed.)