The timestamp isn't part of the signature. If you use three tildes ~~~ rather than four you'll leave a signature without a timestamp. However, the timestamp is helpful on conversations.

If you're using a custom signature, it's also possible to include a custom timestamp inside it and use that instead of the default timestamp.

dunno if thats what u mean but i think this signature is an example: https://dev.fandom.com/wiki/Talk:LockOldComments?diff=prev&oldid=209034

basically i just manually added the source code for that signature, and inside the div boxes i added 5 tildes instead of 4 to add only the date and time.

@Sugar Galaxy Queen I actually tried doing that but it kept ‘disappearing’ everytime I saved it.

hmm, thats weird? have you clicked preview before saving?

No. I tried to put the timestamp in another div box but once saved, it didn’t show and it just moved to the end.

You can use the #time parser function to generate the timestamp inside the signature code so that just using ~~~ will generate the entire signature. For example my signature is:

<dl style="margin: 0;"><dd>&mdash; [[User:Mikevoir|Mikevoir]] ([[User_talk:Mikevoir|don't talk to me]] | [[Special:Contributions/Mikevoir|stalk me instead]]), sent on {{SUBST:raw:#time:F d, Y H:i:s (e)|now}}</dd></dl>

Which you can see the result of in this edit.