The solution is to use strut=no in the framed and clear the before and after 
keys of the typing environment.  I found it by accident on the wiki: 
http://wiki.contextgarden.net/Verbatim_text#Making_a_tight_vertical_fit

---

\starttext

\ruledhbox{%
  \startframed[width=fit,align=right,strut=no,offset=0pt]
    \setuptyping[before=,after=]
    \starttyping
      print("Hello World!")
    \stoptyping
  \stopframed
}

\stoptext

On 11/08/2016 03:10 PM, Henri Menke wrote:
> Dear list,
> 
> To answer this question on TeX.SX 
> https://tex.stackexchange.com/questions/338135/ I was trying to put a typing 
> environment into a natural width box.  It first seemed that framedtext is 
> doing what I was after but it turned out that only the frame is adjusted to 
> natural width, the underlying box is still full width.  Therefore I tried 
> framed but there I obtain spurious vertical space out of nowhere.  How can I 
> place typing into a natural sized box?
> 
> Cheers, Henri
> 
> ---
> 
> \starttext
> 
> \ruledhbox{%
>   \startframedtext[width=fit,offset=0pt]
>     \starttyping
>       print("Hello World!")
>     \stoptyping
>   \stopframedtext
> }
> 
> \ruledhbox{%
>   \startframed[width=fit,align=right,offset=0pt]
>     \starttyping
>       print("Hello World!")
>     \stoptyping
>   \stopframed
> }
> 
> \stoptext
> 

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