Local mag

[Fieldsman]

4D.Bone hidden by a wife-murderer (5) H???R
5D. Behold the French lady's name (4) N???

[AKMild]

4D Femur

[sandyRoe]

4 wiFE MUR der

[AKMild]

5D Lola

[factor-fiction]

LOLA?

[bulliver]

5d Lola ('lo'+'la)

[Fieldsman]

Thank you all for the answers,just one to go.
Encouraging advice given by a doctor and novice to some hostellers. (3,2,4)
M?L?N?I?E

[Lie-in King]

Mol an óige (Google says it's "Encourage the youth") - MO (doctor) + L(earner) + 'an óige' (Irish Youth Hostel Association)

http://en.wikipedia.org/wiki/An_Oige

(?)

[Fieldsman]

Thanks Lie-in King,Your knowledge of Irish language was the difference here