Dreamworks issued a press release today indicating Thomas Newman will score Bridge of Spies. The press release simultaneously confirms that Williams will score Spielberg's The BFG.
http://blogs.indiewire.com/theplaylist/thomas-newman-to-score-steven-spielbergs-bridge-of-spies-john-williams-will-tune-up-the-bfg-20150318
The movie will be shown at Cannes Film Festival in May already apparently (the festival runs between 11 – 22 May 2016), so it will be shown about a month before the movie will have its real wide release.
Do you think we will get some reports on the score then? Just 2 months to go before that first premiere.