24 hours in London? Worth it?

I say go for it. On my first trip to the UK I spent less than 48 hours in London. I didn't see everything, but I saw a lot (and I've been back many times since).

London is expensive to be sure, but there are a lot of reasonably priced accommodation options. If you give us an idea of your budget, we might be able to give you some recommendations.

Yes, go for it!!
So many options Friday evening....
-theatre, West End or the Open-Air Theatre in Regent's Park
-museum Friday lates
-evensong at Westminster Abbey or St Paul's
-concert at St Martin in the Fields
-London Walks pub crawl evening walk
-Thames Clipper boat ride
...to name just a few possibilities.

Saturday--I don't know how much time you have but see the Tower of London if you can. Get there for opening, go straight to the Crown Jewels before a long line forms, then take an entertaining free Yeoman Warder tour. You need at least 2 hours to do the Tower justice, preferably 3 hours.

Whatever you decide I hope you enjoy your trip!!

Thank you for your prompt answer!! My budget it a little bit tight :/ For accommodation, I'd say around 80-100£.
Saturday, I will have to be at Heathrow by 4p.m.

I am a big fan of the dorms at the London School of Economics: http://lsevacations.co.uk. If you're looking at Friday, June 16, they have availability at several of their locations at various price points well within your budget. If you're looking at Friday, June 24, the pickings are slimmer, but it looks like they have some rooms at Rosebery Hall for GBP 92.

They're university dorms, so they're nothing luxurious by any means (though since you're staying the week at Oxford, you'll be used to that), but the ones I've stayed in are comfortable enough, and they're well located in Central London (important for you with your limited time).

If that's not to your liking, I'm sure others will come along with other suggestions.

Sara posting privately re accommodation.

Absolutely go for it.

All you need to do (once you've settled in) is find the closest tube (London Underground station). Get a 1 day travel pass and off you go.

Find the closet tube station (London Underground) . Find the large wall map. Find Westminster station and plot your route there.

Exiting that station you will see iconic London before you.

ENJOY!

Falcon Hotel is in a great location, 5 minute walk to Paddington Station which you can get to Heathrow from. You can get a single room for £69.00.

Thank you Guys for the suggestions and the help!
I tried the places you recommanded by they are all booked out. I am looking at the Friday 30.
I am guessing that being near to Paddington or another direct Station to Heathrow is not essential since I will have to check-out by 10a.m. But maybe I am wrong!

Hub by Premier Inn is a new format - compact rooms, but central locations. The best room prices for June would have sold out last year, but they have a single room for 30 June at £90.50 at their Kings Cross hotel.

Your choice as to what to do with your time, but I prefer walking round places and popping into galleries or churches that catch my eye rather than spending 3 hours in one specific place, with such a tight schedule.

With an afternoon, you could easily walk past Buckingham Palace, Westminster Abbey, Houses of Parliament, Downing Street, go into the National Gallery and the adjacent gallery then catch a show (tickets from the TKTS bureau in Leicester Square) or walk round Covent Garden.

The following morning, see either St Paul's and the Tower of London or visit one of the many museums or galleries, depending on what your interests are.