Most weather sites give details of conditions from the airports.  Particularly in Tenerife the weather varies considerably.  In order to see today's weather and a 5 day forecast for popular Tenerife resorts in the South of the island check.
http://www.weather-today.co.uk/Canary...

To check the weather in the North of the island look at San Juan Rambla which is far more accurate for the Puerto de la Cruz area than the airport. 
http://www.wunderground.com/weatherst...

From this website http://www.wunderground.com/cgi-bin/f... you can also check the weather history over several years giving a general idea of what to expect.