I made a horizontal histogram by turning the diagram by 270° using the rotate package in LaTex. It is no problem to adjust all the labels and tics, but I did not find a way to rotate the key.

Here is my gnuplot code:
set terminal epslatex size 16cm, 32cm
set output "stackexchange.tex"
set xrange [-1:8]
set key
set boxwidth 0.95
set style data histograms
set style histogram errorbars
set style fill solid 0.8
set style line 1 lt 1 lc rgb "#0080B0" lw 3
set yrange[600:1100]
unset ytics
set y2tics rotate
set y2label rotate "xyz / abc"
set xtics nomirror rotate scale 0
plot 'stackexchange.dat' using 2:3:xticlabels(1) ls 1 title 'A', '' using 4:5 ls 1 fill pattern 6 title 'B'
That is how I implement it in LaTex:
\begin{figure}
\begin{turn}{270}
\resizebox{!}{0.9\textwidth}{\input{stackexchange}}
\end{turn}
\end{figure}
This is my datafile:
A 890.1 3.2 789.9 11.7
B 626.97 20.467 862.8 12.3
C 923.9 5.89 963.8 3.7
D 785.233 15.921 627 2.3
E 903.167 7.94 880.9 1.9
F 863.43 25.237 778.2 4.2
G 909.6 5.370 941 13
H 895.633 40.401 813 11.3
I guess this is a classical xy-problem. Actually, you want to have a horizontal bar chart and since it doesn't exist as direct plotting style in gnuplot you think the solution would be to make a vertical bar chart and rotate it, and now you have the problem of how to rotate the key labels.
I know it would be convenient if there was a horizontal bar chart, but as far as I know gnuplot 5.4 still doesn't have it.
Actually, it's not really needed, because you can do it "manually" with the plotting style boxxyerror (available at least since gnuplot 4.0). The following script works with gnuplot>=5.0 (version at the time of OP's question) and with some small modifications even with older versions. The result below is from wxt terminal, but is should work the same with epslatex terminal.
The script is kept rather general. So, I added two columns to OP's data and simply by setting N=3 you can have additional data in the graph (see second image).
Script: (works for gnuplot>=5.0.0, Jan. 2015)
### Horizontal grouped bar chart
reset session
$Data <<EOD
A 890.1 3.2 789.9 11.7 627 2.3
B 626.97 20.467 862.8 12.3 778.2 4.2
C 923.9 5.89 963.8 3.7 789.9 11.7
D 785.233 15.921 627 2.3 813 11.3
E 903.16 7.94 880.9 1.9 862.8 12.3
F 863. 25.237 778.2 4.2 880.9 1.9
G 909.6 5.37 941 13.0 941 13.0
H 895.6 40.41 813 11.3 963.8 3.7
EOD
N = 2 # number of boxes in group
gap = 0.2 # relative gap between groups
width = 0.8 # relative boxwidth in group
grid = (1.0 - gap)/N # raster
y(i) = column(0) + (i-N/2.-0.5)*grid # y-position
dy = grid*width/2. # half relative boxwidth
title(i) = sprintf("column %d",2*i) # key/legend entry
set style fill transparent solid 0.5
set offset 0,0,0.5,0.5
set xrange [600:1100]
set yrange [:] reverse
set ytics out
set key noautotitle
plot for[i=1:N] $Data u (0):0:(0):i*2:(y(i)-dy):(y(i)+dy):ytic(1) w boxxy lc i ti title(i), \
for[i=1:N] '' u i*2:(y(i)):i*2+1 w xerr lc i
### end of script
Result:
N = 2

N = 3

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