"Click here" or related "Action here" have become a bad practice for navigation.
In case you want to use a text, I would be better just to specify the action (continue, buy, finish, next, etc).
If for some reason you HAVE to describe a "mechanical action", tap / touch are the options.
I don't have scientific support for this but here some reasons from:
It’s bad for usability. Using ‘click here’ for a link forces users to
read around the link to find out what they should actually be clicking
for. It’s a bit like labelling the up and down arrows for a lift to
‘press this to go up’ and ‘press this to go down’!
It’s bad for readability. ‘Click here’ invariably leads to clunky and
overly long winded text. Why use ‘Click here to download the file’
when ‘Download file’ will suffice?
It’s bad for search engine optimisation (SEO). Search engines like
Google will use the text for links going to a page to help determine
what that page is about. Using ‘click here’ is about as useful to
Google as a chocolate teapot (which thinking about it could be
surprisingly useful, just so long as you like cold, chocolaty tea).
It’s bad for accessibility. Don’t forget that some users might not
even be using a mouse so can’t ‘click here’ even if they wanted to.
Also screen reader users will often deal with links out of context,
such as bringing up a list of all the links on the page. A list of
‘click here’ link is obviously going to make their lives somewhat
difficult. A list of ‘click here’ links would make no sense within a
screen reader
It’s patronising. Users know how to follow a link. They don’t need
being told that they should ‘click here’ to do something, like it’s
their first time using a computer!