Both “anarchism” and “anti-globalism” (the former largely as a result of fairly recent cooption, the latter inherently in being a label of opposition not specifically tied to the ideological reason for opposition) have both far-left and far-right versions, and that remains the case. Neither is universal on the left or the right, either, because while anarchism in the narrower historical sense is connected to socialism, there are obviously socialisms that are not anarchist (even without going to the extreme of Lenin/Stalin/Mao vanguardist approaches).
I disagree that, within the left and far-left, the anarchist or anti-globalist segments have recently retreated. OTOH, in the United States, the old (peaking around 1990) overlapping center-right neoliberal globalist faction forming the moderate wings of both major parties has faded in the Republican Party, leading the remaining segment of it – which is the dominant faction of the Democratic Party – to be called “left” (and sometimes “far left”) by Republican partisans.
I disagree that, within the left and far-left, the anarchist or anti-globalist segments have recently retreated. OTOH, in the United States, the old (peaking around 1990) overlapping center-right neoliberal globalist faction forming the moderate wings of both major parties has faded in the Republican Party, leading the remaining segment of it – which is the dominant faction of the Democratic Party – to be called “left” (and sometimes “far left”) by Republican partisans.