One of the more commonly used devices is the D6 strain-Gauge Dendrometer made by UMS GmbH, Germany. They are used to record daily shifts in trunk or stem diameter and can be set up to measure simultaneous changes in multiple trees.
Dendrometers cannot send data unless each one of then is connected to an individual data logger. We have tested several of then and the best one was produced by one of our research partners at CSIRO australia. Australia's National Arboretum have then deployed and we have then also in singapore, germany and at Santa Rosa, Costa Rica. The systems are not cheap though and you need to be sure that you have the correct cyberinfrastructure to deal with the data.
Dendrometer DRL 26 (Tree trunk inkrement, Range 65 mm, strength 15 to 20 N, stepless reading, 50k values, 5 years battery, Wireless infrared data access), more details are available from http://www.emsbrno.cz/p.axd/en/Dendrometer.DRL.26.html
We have also very good experiences with automatic dendrometers from emsbrno mentioned by Petr Madera in previous post. We have used them e.g. in demanding conditions in Himalaya (details in forthcoming paper: "Annual and intra-annual growth dynamics of Myricaria elegans shrubs in arid Himalaya" - now accepted in Trees).
I think that the challenge is to produce our own devices of low cost and not depend on the high investment instruments provided by the Intruments Corporation. Ee need a creative exchange between users and thechnologicians . We need to use Arduino computers, sensors, elastic pieces than emmit electromagnetic signals,connection to intelligent phones that that yransmit the information and programs that process the diameter growth related to weather ( not climate), like temperature the day before, rainfall, light, accumulation of dry days, etc. All of this of course on real time. Everything is there. Ee need to get together in a FabLab, and construct it.