Hello dodziu,
we are going to split up the answers for a better understanding

what are the possible effect of listing this token on the mining process?
One possible effect could be that more people try to mine. This could lead to multiple people trying to mine the same block. Only one person (wallet) will receive the reward tho. Who gets the reward is not decided by us or our smart contract. It depends on the miners, which hold up the ethereum network and which transaction they confirm first. But this seems a very, very rare case.
is it possible for the gas fee to increase when listed or the amount payout reduce when listed ?
The gas fee isn't connected to a listing on an exchange. It will always be the standard gas fee, which is currently needed to fire a transaction on the ethereum network.
You can find the current gas prices here :
https://ethgasstation.infoAt the moment we encourage you to mine with the lowest amount possible (something around 155 Wei). The transaction may take up to 5 minutes, but as there isn't that much competition, you can get your CYLE very cheap.
What is your introducing price of this token to the market ?
You can calculate the intrinsic value yourself by diving the 40 CYLE you get per mining attempt by the spend transaction fee costs.
We already had two users in our OTC channel, which negotiated a price of 0,1 dollars per CYLE. So we would expect something between those two values.
I hope this helps you and answers your questions.
Have a nice weekend.