Firstly, it should be stated that predicting solar cycles has not been a thing that has had great success in the past. But when three groups come to the same conclusion, it is worth looking at what they say.
National Geographic News reports:
Enjoy our stormy sun while it lasts. When our star drops out of its latest sunspot activity cycle, the sun is most likely going into hibernation, scientists announced today.
Three independent studies of the sun’s insides, surface, and upper atmosphere all predict that the next solar cycle will be significantly delayed—if it happens at all. Normally, the next cycle would be expected to start roughly around 2020.
The combined data indicate that we may soon be headed into what’s known as a grand minimum, a period of unusually low solar activity.
The predicted solar “sleep” is being compared to the last grand minimum on record, which occurred between 1645 and 1715.
It is worth mentioning that the current cycle 24 has been quite substantially slower and quieter than any cycle for many decades.
The association between solar activity and climate is well established, but because of the political aspects of climate change, the waters can expect to get muddy with this announcement. Expect predictions ranging from a new ice age to everyone getting fried. The truth? All energy on Earth comes from the Sun so if activity is less then it will cause some cooling compared to if the Sun was more active.