I last went to CI during the end of 99 or beginning of 2000 - a few weeks after the coup but a few days before the military desertion. I flew in & out of Abidjan on the same day and felt very uncomfortable, locals were staring at me without smiling. I don't think many had seen a white face in a while and I didn't see any other white people, which was in contrast to my previous visits the place normally over-run with French ex-pats.
Looking at the current FCO advice, I don't think things have improved since then, so I think it wise to avoid at present, if for nothing else, safety in numbers.
If you do get there, I can recommend 'Chez Cakpo' restaurant - excellent Langouste, Gambas, Aloco and Atike - all washed down with Guinness. It's on the beach just to the east of the main port entrance (on the bend in the port/beach road) at about N5 15.100 W3 59.800 (give or take a couple of k's) & of course the Alocodrome open air restaurant is not to be missed when the security situation greatly improves (this was a dodgy spot for lone travellers in the best of times)