I am afraid that exporting to clipboard is not what you are looking for.
Currently the only option to print the record is to use Print function of the browser. Simply open the Contact record and select Print (Control + P works in most browsers) and then print to the printer or PDF. The layout will not be the best, but it simply prints what you see on the screen.
We are aware that sometimes it is necessary to print some information. The best method would be to create a simple report - especially if you want to include some relevant information form other recordsets, like for example activity list or notes - this would be the only option.
We have a plan (for a long time now) to include Print Preview option that will format the output in a printer friendly CSS ready for printing, unfortunately I don't have an estimated time when we will introduce this feature. Anyway - this will solve just part of your problem as it will allow to print just what you see. For a custom report you need to build your own module that will generate a PDF report which then you can print.
Here is another post that deals with generating a custom report: viewtopic.php?f=8&t=626&p=2382&hilit=report#p2382