I started dating this guy from work before christmas.  We went out on a few dates then just before christmas he dumped me.  I took it really badly and started texting him and he ignored me. 

I presume you mean by really badly, you mean blaming him and screaming and shouting at him and pleading with him to change his mind.  It doesn't usually work with a guy and will result in him ignoring you.

I did'nt see him again at work until march.  We started talking and seemed to be getting along again.  We started to see each other again.  Then in May he dumped me again because he said I was checking up on him because he did'nt keep a date because he told me he had a meeting at work. 

That was just a silly excuse, the real reason is he doesn't see you as an attractive option long term.

I still see him at work and now he keeps talking to me again and flirting with me and winding me up.  I still really like him and want to see him again.  What do you think I should do.

Find someone else!  It didn't work the first time, it didn't work the second time, so it's hardly likely to work the third time.  He's just taking the piss, getting back with you because you are keen to get back with him and probably using you for sex too.

Reply by Vic28 08.07.08 

When I said that he thought I was checking up on him it was true I actually asked a work colleague whether there was a meeting and there was. 

I don't doubt that you did, but it's still a silly excuse for him to use for breaking up with you.  So really he had some other reason.

Do you think he had a right to be angry.

He had a right to be angry for you not trusting him, but it's still not a valid reason to dump someone.  He should have communicated to you that he didn't like that and then just got on with the relationship.

Also this week he has started to ignore me at work. 

Hmmm, he could be seriously pissed off with you or else just wanting to avoid you because being in your presence is uncomfortable.  Or Both.

My friend said he is playing games and is waiting for me to contact him to go out again. 

That's the sort of game a woman would play, I don't think guys play it.  If a guy does it, it's usually because she's pissed him off or he doesn't want to see her.  It's literally because he doesn't want to see her.

She told me not to contact him which I have'nt done,

I think she is very sensible. 

but it has been 8 weeks since we broke up.  Why would he want to get back together.

For sex or because he hasn't got anyone better to keep him company.  From what you have said he's not the right person for you, he doesn't think you are the right person for him either.  Yes, he may come back for more, but ultimately you are not right for each, so you both need to move on in my opinion.