Chiyomaru Shikura has posted multiple screenshots on Twitter of an 8-bit mode for Steins;Gate Elite.

Translation:

Steins;Gate Elite, to be released next spring, is under development with a cutting-edge visual novel engine! D-Mails, time-leaps, the time machine… Become Okabe Rintaro in his quest to save the world! *The final product may differ from the pictures.

He affirmed the veracity of the announcement, and added that it won’t be a minigame and that we should to look forward to more information.

UPDATE: Translation of a more recent tweet:

Thank you for giving over 2000 likes! While it may be reminiscent of Octet (linked below), it will be an original story with a more serious tone. You will select the commands instead of inputting them. You can also move Okabe as you wish, but his behavior isn’t quite fitting of a good detective. Information on how to obtain the game coming soon.

If this got you interested, you should check out the non-canon 8-bit Steins;Gate sequel. Having played Chaos;Head is recommended, but not mandatory.