I would think that the political atmosphere has improved significantly since the ouster of the last president but there is at least a 10 to 20 year period that will be needed to rebuild the city/country before the tourists could feel comfortable there again.
I lived in Abidjan for 4 years (1988 - 1992) at the time the city and the country was reeling from the collapse of coffee and cocoa prices. The City one referred as the Beruit of Africa also had to deal with the influx of refugees from the civil war in Liberia. When the long time President, Felix Houphet Bogney died all bets were of and like Yugoslavia after Tito ethnic rivalries took the country on the inevitable road to civil war.
For the non initiated I would suggest that unless you are going on business with people already "on the ground" or with a highly organized group with solid experience in country I would not recommend a "tourist" trip.