Open office doesn't run VBA scripts so VBA viruses wont work, but OpenOffice has OpenOffice.org BASIC, that is OpenOffices own version of VBA, that will have a lot less viruses but will still have Viruses. OpenOffice will be a lot safer if you need to use macro's to speed things up but if you don't use macros then Office can be just as safe. An alternative to openoffice is LibreOffice that is a openoffice derivative that is a lot more popular, more fetures and is also free. LibreOffice still has Basic though.
I have only used open office a couple times so I can't give you a way to stop openoffice viruses on openoffice but I can tell you how to stop VBA for Microsoft Word and how to stop Basic scripts on LibreOffice, its down below:
In word (I'm using word 2010) go into the options then open the 'Trust Center' tab and then click on the 'Trust Center Settings...' button then in there open the 'Macro Settings' tab then check 'Disable all macros without notification' (unless you use VBA then click 'Disable all macros with notification')(this will stop people from getting tricked by documents and turning them on) then click ok at the bottom of both windows and then it should be a bit safer. This should work for Microsoft excel and PowerPoint as well.
Also check this article out: Click here to see a Microsoft artical
LibreOffice (I'm using version 184.108.40.206) go to tools>Options. this will bring up a dialog box, click the dropdown for libreoffice and click security. You will see Macro Security button on the left. Click it. Another dialog box will appear, click the option you feel is the best and then go into the Trusted source to configure trusted locaitons and certificates.
If this keeps happening then just get the IT man to block all macro documents, they have a m at the end of the extension so a word document with out vba would be '.doc' or '.docx' when one that does have VBA would be '.docm'. So just block them.
Hopes this helps.