Provisional Hadley at 4.34C to the 30th http://www.metoffice.gov.uk/hadobs/hadcet/cet_mean_est_2017
My final CET estimate for January is 3.78C (although actually that may still increase a little because some places are seeing temperature rising at the moment so the maximum for today may be recorded overnight in some locations).
Interesting stats for this month - the 7 day period from 21 to 27 Jan saw a mean CET of just 1.20C by my calculations. Nothing remarkable about that though. In January 2016 the period from 15 to 21 January saw a mean of 1.51C and in 2015 the period from 17 to 23 Jan saw a CET mean of 1.0C. We often get one period of cold weather in January even in relatively mild years.
Minimum CET this month 1.0C. Anomaly of -0.7C to 1981-2010
Maximum CET this month 6.5C. Anomaly of -0.7C to 1981-2010
One negative CET mean of -0.2C on the 26th.
Here are the provisional tables and charts for January.
My own data shows that here in Chineham the mean temperature for January (midnight to midnight data - not calculated the 9z to 9z yet) comes in at 2.96C. So a good 0.8C lower than the CET.
January data and tables