@sfSTEM - while we won’t know for sure until her fourth year and she starts looking for a job, we don’t anticipate it being a problem. Comp Sci companies will be interested in what she knows and what she can do- many give coding assessments before they even interview a candidate. So it is more up to her and how much she learns the next 4 years! We studied the curriculums at the UK Unis, and they cover the same material as most US comp sci programs. In some ways, the UK programs are better since gen ed courses are not required and you take more classes in your major. My husband, who works in the field, said based on what she was learning her first year, she would be employable at his company after just two semesters! We are hoping she can land some internships over the summers for experience, and she belongs to the school’s Comp Sci society, which hosts Hackathons and other events.
@sfSTEM yes, you have to know what you want to study before starting at a UK Uni. But for my daughter, that was a plus- she wanted to get right into her major and did not want to take Gen Ed/core requirements that many US schools require to graduate.
@milee30: apologies for the confusion, you stated that there were no academic reasons for Americans choosing St Andrews so that was what I interpreted. Now that I re-read your post in its full context, I see what you meant.
And OP, if it is of interest to you, Computer Science graduates of St Andrews earn the second highest (behind Oxford CompSci grads) starting salaries out of all graduates in the UK at £41,600 ($56,200) so you can imagine that a fair few have entered large multinational corporations with the opportunity to work in the US after a few years.
https://www.theregister.co.uk/2017/09/25/computer_science_graduates_best_paid_report/
@sfSTEM my son just finished his first term at Oxford reading maths&comp sci. We spent a fair amount of time over break investigating internship opportunities for the summer. I was very impressed with the opportunities available through the Oxford career center. A number in North America. Quite common to see financial services firms with locations in NY and London recruiting through the same posting. He has a phone interview next week with a NY based hedge fund. He also went to a career fair at the math institute and there were plenty of multinational firms with US positions recruiting there.
Ok thanks so much for the messages guys, it is looking like St.Andrew’s/Glasgow/Edinburgh/Imperial are looking the most promising for my undergrad comp sci journey!
I am currently leaning towards St.Andrews 
Hey! I’m a high school student and I would definitely study abroad as an undergrad to get a feel for the system here in America, it’s pretty different.
Thanks @KaffeineKitty. Didn’t know about the gen ed philosophy of UK schools. That’s great, as my very STEM pointy son would love to minimize those. It is early, interests change. But good to understand possibilities for the future. And great news about what your daughter is learning.
@HazeGrey thanks for that! We’re four years away from the college app process, but it’s helpful to understand some possibilities.
@PurpleTitan Hear you re: too early. No committing my son to anything at this point. Just using this forum to gather information.
@asmaster24 I hope you choose to apply to Imperial, don’t get swayed by @PurpleTitan who only seems to respect oxbridge and LSE because he knows them best, Imperial is the best in Europe for STEM with Cambridge, its incredibly well respected, ranks among the best in the world, has the highest entry tariffs with Cambridge in U.K. and the hardest offers to make. St Andrews isn’t even a target uni, but Americans seem to love it, imperial seems to only be going up so seriously consider that
??? Why not listen to me?
Imperial was one of the two unis I recommended for the OP (outside of Oxbridge). Multiple times.