Here are updated graphs of JOLTS (January) and employment flows (February). Watching these series from month to month is kind of like watching grass grow, but they generally continue to show tentatively positive trends.
I use weighted moving averages with the JOLTS data to cut down the noise. Churn is slowly increasing in all the relevant measures. In late 2012, these trends began to flatten. They are flattening again (see graph of slopes), so this is something to watch in coming months. If the trends start to decline, that could signal a danger as the Fed looks to tighten monetary policy. This could be a sign that the economy can't overcome the disinflationary effects of the taper.
The Beveridge Curve continues to approach the pre-crisis trend. This will mostly be a product of the unemployment rate declining. The Beveridge Curve for the 45+ age group moved especially toward the old trend (the blue dot left of Dec. 2013 is the Jan. 2014 point). This is probably related to the steep decline in long-duration unemployment in January. Much of the long-duration unemployed are from this age group. This might reverse in February, when long-duration unemployment moved back up.
I would hope to see hires accelerate and the Beveridge Curve shift left as we move away from extended unemployment insurance (EUI), but as of February, outcomes appear to be mixed. Weather-related issues don't appear to be as strong in March, so next month will give us interesting information about the direction of labor markets.
The Employment Flows data is updated through February. The trends there continue to give a positive picture of post-EUI employment. The flow of unemployed workers out of the labor force has actually declined significantly in the last 2 months. Relative flows out of the labor force have come from employed workers. These are positive trends.