Well with both of my DX lasers they have a very short moment (Half a second at most) until they come up to "full power". My True 5mW sort of ramps up to power where as my True 30mW will jump up to power after a moment. It shouldn't be anything to really worry about unless it's really effecting performance.
Most greens have a relatively small thermal range for optimal performance, and ideally this is a bit above ambient as to sustain continous operation.
I actually notice the difference now that it's getting colder here... especially in my DX30. At a bit over 20 degrees it shoots up to full power in a second or two, but when it's been in a colder room (say 15 degrees) it easily takes half a minute.
The crystals inside the laser are more or less efficient at different temperatures, so if you laser is really cold, it may be dim untill it warms up, our you warm it up by holding it between your hands, or if it is hot, it may be dim also, but at a certain temperature, the laser will reach full power(unless you have mode hopping issues)